240713856 has 192 divisors, whose sum is σ = 735134400. Its totient is φ = 78382080.

The previous prime is 240713849. The next prime is 240713867. The reversal of 240713856 is 658317042.

240713856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 240713856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2208330 + ... + 2208438.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 2^240713856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367567200).

240713856 is an abundant number, since it is smaller than the sum of its proper divisors (494420544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240713856 is an equidigital number, since it uses as much as digits as its factorization.

240713856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 240713856 is about 15514.9558813424. The cubic root of 240713856 is about 622.0620348035.

It can be divided in two parts, 24071385 and 6, that added together give a triangular number (24071391 = T₆₉₃₈).

The spelling of 240713856 in words is "two hundred forty million, seven hundred thirteen thousand, eight hundred fifty-six".